Solvability of a class of hyperbolic-cosine-type difference equations

Advances in Difference Equations

Zdeněk Šmarda¹  Witold Kosmala²  Bratislav Iričanin³  Stevo Stević⁴ 

[1] Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 3058/10, CZ - 616 00, Brno, Czech Republic;Deptartment of Mathematical Sciences, Appalachian State University, 28608, Boone, NC, USA;Faculty of Electrical Engineering, Belgrade University, Bulevar Kralja Aleksandra 73, 11000, Beograd, Serbia;Faculty of Mechanical and Civil Engineering in Kraljevo, University of Kragujevac, Kraljevo, Serbia;Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000, Beograd, Serbia;Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan, Republic of China;Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 3058/10, CZ - 616 00, Brno, Czech Republic;

关键词: Difference equation;    Solvable equation;    Closed-form formula;    Hyperbolic-cosine-type difference equation;    39A20;    39A06;    39A45;   

DOI  :  10.1186/s13662-020-03027-8

来源: Springer

【 摘 要 】

We describe a method for constructing one of the basic classes of solvable hyperbolic-cosine-type difference equations, generalizing a known difference equation by Laplace in a natural way.

【 授权许可】

CC BY